改进的位形空间在2反演后的同调稳定性
Improved homological stability for configuration spaces after inverting 2
摘要：
在附录A中他的文章有理函数，西格尔证明了同调稳定的配置空间的稳定斜率为1/2。这是后来改进的斜率为1的教堂和兰德尔-威廉姆斯，如果一个工程与合理的系数和流形的维度至少$3$。本文证明了1的稳定性斜率对Z[1/2]系数也成立，并阐明了Segal关于拓扑流形的证明的某些方面.
英文摘要：
In Appendix A of his article on rational functions, Segal proved homological stability for configuration spaces with a stability slope of 1/2. This was later improved to a slope of 1 by Church and Randal-Williams if one works with rational coefficients and manifolds of dimension at least $3$. In this note we prove that the stability slope of 1 holds even with Z[1/2] coefficients, and clarify some aspects of Segal's proof for topological manifolds.
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